Camina groups with few conjugacy classes

• Date: 2018
• Main Authors: Cangelmi, Leonardo, Muktibodh, Arun S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Camina groups; Frobenius groups; Conjugacy classes; 20D25; 20E45
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/629
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) be a finite group having a proper normal subgroup \(K\) such that the conjugacy classes outside \(K\) coincide with the cosets of \(K\). The subgroup \(K\) turns out to be the derived subgroup of \(G\), so the group \(G\) is either abelian or Camina. Hence, we propose to classify Camina gr...